72636288 has 128 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 22923264.

The previous prime is 72636269. The next prime is 72636301. The reversal of 72636288 is 88263627.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875095 + ... + 875177.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2^72636288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72636288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

72636288 is an abundant number, since it is smaller than the sum of its proper divisors (130939392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72636288 is a wasteful number, since it uses less digits than its factorization.

72636288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 72636288 is about 8522.6925322928. The cubic root of 72636288 is about 417.2386651410.

The spelling of 72636288 in words is "seventy-two million, six hundred thirty-six thousand, two hundred eighty-eight".